How do you shade inequalities on a coordinate plane?
There are three steps:
- Rearrange the equation so “y” is on the left and everything else on the right.
- Plot the “y=” line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
- Shade above the line for a “greater than” (y> or y≥) or below the line for a “less than” (y< or y≤).
How do you shade inequalities on a graph?
Shade the appropriate region. Unless you are graphing a vertical line the sign of the inequality will let you know which half-plane to shade. If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.
What causes the shade of the coordinate plane?
If the coordinates of the point satisfy the inequality, then the area above or below the line containing the point will be shaded. If the coordinates of the point do not satisfy the inequality, then the area above or below the line that does not contain the test point will be shaded.
Which is the correct inequality for the shaded region?
Since the shaded area is below the x-axis, the first inequality is y≤0, since we wish to include the boundary of the shaded area. Since the shaded area is to the right of the y-axis, the second inequality is x≥0. The shaded region is above the line y=−1, so the third equation is y≥−1.
How do you know which part to shade on a linear inequality?
Shade the top side of the boundary line if you have the inequality symbols > or ≥. Shade the bottom side of the boundary line if you have the inequality symbols < or ≤.
What does the shaded area represent on a graph of an inequality?
The solutions to a linear inequality can be shown as a shaded region that represents the ordered pairs which make the inequality true. The boundary line of the region is the graph of the related equation. the ordered pairs which make the inequality true.
Which inequality is graphed on the coordinate plane?
Linear inequalities can be graphed on a coordinate plane. The solutions for a linear inequality are in a region of the coordinate plane. A boundary line, which is the related linear equation, serves as the boundary for the region.
How do you determine the half plane of the graph to be shaded?
If the coordinates you selected make the inequality a true statement when plugged in, then you should shade the half‐plane containing those coordinates. If the coordinates you selected do not make the inequality a true statement, then shade the half‐plane not containing those coordinates.